Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Secondorder performance analysis of standard ESPRIT
 Institute of Electrical and Electronics Engineers IEEE; IEEE Signal Processing Society: IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017. Proceedings : March 59, 2017, Hilton New Orleans Riverside, New Orleans, Louisiana, USA Piscataway, NJ: IEEE, 2017 ISBN: 9781509041176 ISBN: 9781509041169 ISBN: 9781509041183 pp.30513055 
 International Conference on Acoustics, Speech, and Signal Processing (ICASSP) <42, 2017, New Orleans/La.> 

 English 
 Conference Paper 
 Fraunhofer IIS () 
Abstract
This paper provides a secondorder (SO) analytical performance analysis of the 1D Standard ESPRIT algorithm. Existing performance analysis frameworks are based on firstorder (FO) approximations of the parameter estimation error, which are asymptotic in the effective signaltonoise ratio (SNR), i.e., they become exact for either high SNRs or a large sample size. However, these FO expressions do not capture the algorithmic behavior in the threshold region at low SNRs or for a small sample size. Yet, such conditions are often encountered in practice. Therefore, we present a closedform expression for the parameter estimation error of 1D Standard ESPRIT up to the SO that is valid in a wider effective SNR range. Moreover, we derive an analytical mean square error (MSE) expression, where we assume a zeromean circularly symmetric complex Gaussian noise distribution. Finally, we use the existing FO MSE expression and the derived SO MSE expression to analytically compute the SNR breakdown threshold of the MSE threshold region. Empirical simulations verify the analytical expressions.